论文标题
用于核的线性响应的量子算法
A Quantum Algorithm for the Linear Response of Nuclei
论文作者
论文摘要
我们提出了一种量子算法，以获得原子核对小型外部电磁扰动的响应。该系统的哈密顿量是由谐波振荡器提出的，基于单位的方法（LCU）方法的线性组合用于模拟量子计算机上的哈密顿量。使用交换测试算法计算偶极子响应的哈密顿模拟的输出用于计算偶极子响应。使用量子算法计算的响应函数的结果与实验数据进行了比较，并提供了良好的一致性。我们显示了$^{120} $ sn和$^{208} $ pb的结果，以证实SN和PB区域中的实验数据，并将结果与使用常规线性响应理论获得的结果进行比较。
We present a quantum algorithm to obtain the response of the atomic nucleus to a small external electromagnetic perturbation. The Hamiltonian of the system is presented by a harmonic oscillator, and the linear combination of unitaries (LCU) based method is utilized to simulate the Hamiltonian on the quantum computer. The output of the Hamiltonian simulation is utilized in calculating the dipole response with the SWAP test algorithm. The results of the response function computed using the quantum algorithm are compared with the experimental data and provide a good agreement. We show the results for $^{120}$Sn and $^{208}$Pb to corroborate with the experimental data in Sn and Pb region and also compare the results with those obtained using the conventional linear response theory.
